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Gianni, Patrizia M.

Author ID: gianni.patrizia-m Recent zbMATH articles by "Gianni, Patrizia M."
Published as: Gianni, Patrizia; Gianni, P.; Gianni, Patrizia M.

Publications by Year

Citations contained in zbMATH Open

26 Publications have been cited 600 times in 526 Documents Cited by Year
Efficient computation of zero-dimensional Gröbner bases by change of ordering. Zbl 0805.13007
Faugère, J. C.; Gianni, P.; Lazard, D.; Mora, T.
196
1993
Gröbner bases and primary decomposition of polynomial ideals. Zbl 0667.13008
Gianni, Patrizia; Trager, Barry; Zacharias, Gail
176
1988
The singular value decomposition for polynomial systems. Zbl 0920.65034
Corless, Robert M.; Gianni, Patrizia M.; Trager, Barry M.; Watt, Stephen M.
61
1995
A reordered Schur factorization method for zero-dimensional polynomial systems with multiple roots. Zbl 0917.65048
Corless, Robert M.; Gianni, Patrizia M.; Trager, Barry M.
31
1997
Properties of Gröbner bases under specializations. Zbl 1209.13033
Gianni, Patrizia
22
1989
Algebraic solution of systems of polynomial equations using Gröbner bases. Zbl 0692.13012
Gianni, Patrizia; Mora, Teo
19
1989
Shape determination for real curves and surfaces. Zbl 0557.14011
Gianni, Patrizia; Traverso, Carlo
13
1983
Riemann surfaces, plane algebraic curves and their period matrices. Zbl 0964.14047
Gianni, Patrizia; Seppälä, Mika; Silhol, Robert; Trager, Barry
10
1998
Algorithms for the shape of semialgebraic sets. A new approach. Zbl 0779.14022
Cellini, Paola; Gianni, Patrizia; Traverso, Carlo
9
1991
Square-free algorithms in positive characteristic. Zbl 0874.12009
Gianni, P.; Trager, B.
9
1996
Algorithms to compute the topology of orientable real algebraic surfaces. Zbl 1049.14046
Fortuna, E.; Gianni, P.; Parenti, P.; Traverso, C.
9
2003
Degree reduction under specialization. Zbl 0998.13014
Fortuna, Elisabetta; Gianni, Patrizia; Trager, Barry
8
2001
Algorithmical determination of the topology of a real algebraic surface. Zbl 1130.14304
Fortuna, E.; Gianni, P.; Luminati, D.
7
2005
Integral closure of Noetherian rings. Zbl 0927.13012
Gianni, P.; Trager, B.
5
1997
Derivations and radicals of polynomial ideals over fields of arbitrary characteristic. Zbl 1059.13014
Fortuna, E.; Gianni, P.; Trager, B.
5
2002
Scratchpad’s view of algebra. II: A categorical view of factorization. Zbl 0921.13011
Davenport, J. H.; Gianni, P.; Trager, B. M.
4
1991
Irreducible decomposition of polynomial ideals. Zbl 1120.13017
Fortuna, E.; Gianni, P.; Trager, B.
3
2005
Some constructions for real algebraic curves. Zbl 1120.14046
Fortuna, E.; Gianni, P.; Parenti, P.
2
2005
Generators of the ideal of an algebraic space curve. Zbl 1169.14024
Fortuna, E.; Gianni, P.; Trager, B.
2
2009
Computing the topology of real algebraic surfaces. Zbl 1072.68666
Fortuna, Elisabetta; Gianni, Patrizia; Parenti, Paola; Traverso, Carlo
2
2002
Morfismi interi delle varieta algebriche. Zbl 0381.14001
Gianni, Patrizia
2
1978
Square-free decomposition in finite characteristic: an application to Jordan form computation. Zbl 1097.13524
Fortuna, Elisabetta; Gianni, Patrizia
1
1999
The adjacency graph of a real algebraic surface. Zbl 1094.14050
Fortuna, E.; Gianni, P.; Luminati, D.; Parenti, P.
1
2005
Computation of new Schubert tables for quadrics and projectivities. Zbl 0596.14042
De Concini, Corrado; Gianni, Patrizia; Traverso, Carlo
1
1985
A Nullstellensatz for an algebraically non-closed field. Zbl 0399.14001
Adkins, W. A.; Gianni, P.; Tognoli, A.
1
1978
Ideals of curves given by points. Zbl 1317.13062
Fortuna, E.; Gianni, P.; Trager, B.
1
2012
Ideals of curves given by points. Zbl 1317.13062
Fortuna, E.; Gianni, P.; Trager, B.
1
2012
Generators of the ideal of an algebraic space curve. Zbl 1169.14024
Fortuna, E.; Gianni, P.; Trager, B.
2
2009
Algorithmical determination of the topology of a real algebraic surface. Zbl 1130.14304
Fortuna, E.; Gianni, P.; Luminati, D.
7
2005
Irreducible decomposition of polynomial ideals. Zbl 1120.13017
Fortuna, E.; Gianni, P.; Trager, B.
3
2005
Some constructions for real algebraic curves. Zbl 1120.14046
Fortuna, E.; Gianni, P.; Parenti, P.
2
2005
The adjacency graph of a real algebraic surface. Zbl 1094.14050
Fortuna, E.; Gianni, P.; Luminati, D.; Parenti, P.
1
2005
Algorithms to compute the topology of orientable real algebraic surfaces. Zbl 1049.14046
Fortuna, E.; Gianni, P.; Parenti, P.; Traverso, C.
9
2003
Derivations and radicals of polynomial ideals over fields of arbitrary characteristic. Zbl 1059.13014
Fortuna, E.; Gianni, P.; Trager, B.
5
2002
Computing the topology of real algebraic surfaces. Zbl 1072.68666
Fortuna, Elisabetta; Gianni, Patrizia; Parenti, Paola; Traverso, Carlo
2
2002
Degree reduction under specialization. Zbl 0998.13014
Fortuna, Elisabetta; Gianni, Patrizia; Trager, Barry
8
2001
Square-free decomposition in finite characteristic: an application to Jordan form computation. Zbl 1097.13524
Fortuna, Elisabetta; Gianni, Patrizia
1
1999
Riemann surfaces, plane algebraic curves and their period matrices. Zbl 0964.14047
Gianni, Patrizia; Seppälä, Mika; Silhol, Robert; Trager, Barry
10
1998
A reordered Schur factorization method for zero-dimensional polynomial systems with multiple roots. Zbl 0917.65048
Corless, Robert M.; Gianni, Patrizia M.; Trager, Barry M.
31
1997
Integral closure of Noetherian rings. Zbl 0927.13012
Gianni, P.; Trager, B.
5
1997
Square-free algorithms in positive characteristic. Zbl 0874.12009
Gianni, P.; Trager, B.
9
1996
The singular value decomposition for polynomial systems. Zbl 0920.65034
Corless, Robert M.; Gianni, Patrizia M.; Trager, Barry M.; Watt, Stephen M.
61
1995
Efficient computation of zero-dimensional Gröbner bases by change of ordering. Zbl 0805.13007
Faugère, J. C.; Gianni, P.; Lazard, D.; Mora, T.
196
1993
Algorithms for the shape of semialgebraic sets. A new approach. Zbl 0779.14022
Cellini, Paola; Gianni, Patrizia; Traverso, Carlo
9
1991
Scratchpad’s view of algebra. II: A categorical view of factorization. Zbl 0921.13011
Davenport, J. H.; Gianni, P.; Trager, B. M.
4
1991
Properties of Gröbner bases under specializations. Zbl 1209.13033
Gianni, Patrizia
22
1989
Algebraic solution of systems of polynomial equations using Gröbner bases. Zbl 0692.13012
Gianni, Patrizia; Mora, Teo
19
1989
Gröbner bases and primary decomposition of polynomial ideals. Zbl 0667.13008
Gianni, Patrizia; Trager, Barry; Zacharias, Gail
176
1988
Computation of new Schubert tables for quadrics and projectivities. Zbl 0596.14042
De Concini, Corrado; Gianni, Patrizia; Traverso, Carlo
1
1985
Shape determination for real curves and surfaces. Zbl 0557.14011
Gianni, Patrizia; Traverso, Carlo
13
1983
Morfismi interi delle varieta algebriche. Zbl 0381.14001
Gianni, Patrizia
2
1978
A Nullstellensatz for an algebraically non-closed field. Zbl 0399.14001
Adkins, W. A.; Gianni, P.; Tognoli, A.
1
1978
all top 5

Cited by 723 Authors

29 Romanovskiĭ, Valeriĭ Georgievich
20 Faugère, Jean-Charles
16 Safey El Din, Mohab
15 Giné, Jaume
12 Mourrain, Bernard
11 Winkler, Joab R.
10 Mora, Teo
9 Schost, Éric
9 Sendra, Juan Rafael
8 Fortuna, Elisabetta
8 Gianni, Patrizia M.
7 Martínez-Moro, Edgar
7 Zhi, Lihong
6 Hashemi, Amir
6 Lecerf, Grégoire
6 Pan, Victor Yakovlevich
6 Sendra, Juana
6 Valls Anglés, Cláudia
6 van der Hoeven, Joris
6 Wang, Dongming
5 Bourne, Martin
5 Ferčec, Brigita
5 Fernandes, Wilker
5 Gutnik, Sergey A.
5 Han, Maoan
5 Hauenstein, Jonathan D.
5 Labahn, George
5 Lazard, Daniel
5 Levandovskyy, Viktor
5 Nie, Jiawang
5 Oliveira, Regilene D. S.
5 Perret, Ludovic
5 Sarychev, Vasily A.
5 Swanson, Irena
5 Szántó, Ágnes
5 Trager, Barry M.
5 Yokoyama, Kazuhiro
5 Zhang, Weinian
4 Berthomieu, Jérémy
4 Borges-Quintana, Mijail
4 Borges Trenard, Miguel Ángel
4 Dahan, Xavier
4 Gerdt, Vladimir Petrovich
4 Helmer, Martin
4 Henrion, Didier
4 Marinari, Maria Grazia
4 Montes, Antonio
4 Mou, Chenqi
4 Noro, Masayuki
4 Pérez-Díaz, Sonia
4 Pfister, Gerhard
4 Su, Yi
4 Yu, Zhiheng
3 Albrecht, Martin R.
3 Alcazar, Juan Gerardo
3 Aschenbrenner, Matthias
3 Blinkov, Yuri A.
3 Cheng, Jinsan
3 Corless, Robert Malcolm
3 De Moor, Bart L. R.
3 Díaz-Toca, Gema María
3 Dibitetto, Giuseppe
3 Dukarić, Maša
3 Dukkipati, Ambedkar
3 Eder, Christian
3 El Kahoui, M’hammed
3 Farouki, Rida T.
3 Galbraith, Steven D.
3 Galligo, André
3 Gao, Xiaoshan
3 Giesbrecht, Mark W.
3 Gomez-Perez, Domingo
3 Gonzalez-Vega, Laureano
3 Grassi, Lorenzo
3 Hasan, Madina
3 Hass, Joel
3 Hidalgo, Rubén Antonio
3 Hubert, Evelyne
3 Karcanias, Nicos
3 Kreuzer, Martin
3 Lao, Xin
3 Llibre, Jaume
3 Lundqvist, Samuel
3 Markovsky, Ivan
3 Márquez-Corbella, Irene
3 Mitrouli, Marilena
3 Moreno Maza, Marc
3 Naldi, Simone
3 Parenti, Paola
3 Pellikaan, Ruud
3 Petit, Christophe
3 Poteaux, Adrien
3 Rueda, Sonia L.
3 Sala, Massimiliano
3 Sasaki, Tateaki
3 Steidel, Stefan
3 Tajima, Shinichi
3 Telen, Simon
3 Terui, Akira
3 Van Barel, Marc
...and 623 more Authors
all top 5

Cited in 122 Serials

131 Journal of Symbolic Computation
24 Applicable Algebra in Engineering, Communication and Computing
22 Theoretical Computer Science
16 Mathematics of Computation
16 Mathematics in Computer Science
14 Journal of Computational and Applied Mathematics
14 Journal of Pure and Applied Algebra
10 Programming and Computer Software
9 Journal of Complexity
9 Linear Algebra and its Applications
8 Applied Mathematics and Computation
8 Journal of Algebra
8 Computer Aided Geometric Design
7 Designs, Codes and Cryptography
6 Computers & Mathematics with Applications
6 Journal of Algebra and its Applications
5 Journal of Mathematical Analysis and Applications
5 Advances in Applied Mathematics
5 Discrete & Computational Geometry
5 Numerical Algorithms
5 Journal of High Energy Physics
5 Advances in Mathematics of Communications
4 Communications in Algebra
4 Qualitative Theory of Dynamical Systems
4 Foundations of Computational Mathematics
3 Journal of Differential Equations
3 Mathematics and Computers in Simulation
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Transactions of the American Mathematical Society
3 Applied Numerical Mathematics
3 SIAM Journal on Matrix Analysis and Applications
3 International Journal of Algebra and Computation
3 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
3 Experimental Mathematics
3 Finite Fields and their Applications
3 Science China. Mathematics
2 Automatica
2 Duke Mathematical Journal
2 Physica D
2 Acta Mathematicae Applicatae Sinica. English Series
2 Algorithmica
2 Revista Matemática Iberoamericana
2 Journal of Cryptology
2 Japan Journal of Industrial and Applied Mathematics
2 Computational Geometry
2 SIAM Journal on Optimization
2 Computational Complexity
2 Computational Optimization and Applications
2 Multibody System Dynamics
2 Nonlinear Dynamics
2 LMS Journal of Computation and Mathematics
2 Journal of Systems Science and Complexity
2 Central European Journal of Mathematics
2 Journal of Mathematical Cryptology
1 International Journal of Modern Physics A
1 Discrete Applied Mathematics
1 Journal of Computational Physics
1 Journal of Mathematical Physics
1 Letters in Mathematical Physics
1 Problems of Information Transmission
1 Fortschritte der Physik
1 Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg
1 Annales de l’Institut Fourier
1 Annals of the Institute of Statistical Mathematics
1 BIT
1 Bulletin of the London Mathematical Society
1 Calcolo
1 Computing
1 Geometriae Dedicata
1 Inventiones Mathematicae
1 Journal of Approximation Theory
1 Journal of Soviet Mathematics
1 Manuscripta Mathematica
1 Memoirs of the American Mathematical Society
1 Numerische Mathematik
1 Pacific Journal of Mathematics
1 Rendiconti del Circolo Matemàtico di Palermo. Serie II
1 Results in Mathematics
1 SIAM Journal on Numerical Analysis
1 Cryptologia
1 Combinatorica
1 Acta Applicandae Mathematicae
1 Information and Computation
1 Applied Mathematics Letters
1 Journal of the American Mathematical Society
1 Mathematical and Computer Modelling
1 MCSS. Mathematics of Control, Signals, and Systems
1 Science in China. Series A
1 Mathematical Programming. Series A. Series B
1 Journal of Dynamics and Differential Equations
1 Vestnik St. Petersburg University. Mathematics
1 Cybernetics and Systems Analysis
1 SIAM Journal on Scientific Computing
1 Journal of Algebraic Geometry
1 Journal of Mathematical Sciences (New York)
1 The Electronic Journal of Combinatorics
1 Advances in Computational Mathematics
1 Reliable Computing
1 Discrete and Continuous Dynamical Systems
1 Transformation Groups
...and 22 more Serials
all top 5

Cited in 47 Fields

260 Commutative algebra (13-XX)
221 Computer science (68-XX)
134 Algebraic geometry (14-XX)
117 Numerical analysis (65-XX)
62 Field theory and polynomials (12-XX)
52 Information and communication theory, circuits (94-XX)
49 Number theory (11-XX)
49 Ordinary differential equations (34-XX)
22 Linear and multilinear algebra; matrix theory (15-XX)
21 Dynamical systems and ergodic theory (37-XX)
18 Operations research, mathematical programming (90-XX)
12 Functions of a complex variable (30-XX)
12 Quantum theory (81-XX)
11 Associative rings and algebras (16-XX)
9 Real functions (26-XX)
9 Several complex variables and analytic spaces (32-XX)
8 Mechanics of particles and systems (70-XX)
7 Combinatorics (05-XX)
7 Partial differential equations (35-XX)
7 Approximations and expansions (41-XX)
6 Group theory and generalizations (20-XX)
6 Special functions (33-XX)
6 Biology and other natural sciences (92-XX)
6 Systems theory; control (93-XX)
5 Difference and functional equations (39-XX)
5 Convex and discrete geometry (52-XX)
4 Mathematical logic and foundations (03-XX)
3 Order, lattices, ordered algebraic structures (06-XX)
3 Geometry (51-XX)
3 Manifolds and cell complexes (57-XX)
3 Statistics (62-XX)
3 Relativity and gravitational theory (83-XX)
2 Calculus of variations and optimal control; optimization (49-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 General algebraic systems (08-XX)
1 \(K\)-theory (19-XX)
1 Topological groups, Lie groups (22-XX)
1 Functional analysis (46-XX)
1 Operator theory (47-XX)
1 Algebraic topology (55-XX)
1 Global analysis, analysis on manifolds (58-XX)
1 Mechanics of deformable solids (74-XX)
1 Fluid mechanics (76-XX)
1 Optics, electromagnetic theory (78-XX)
1 Statistical mechanics, structure of matter (82-XX)
1 Geophysics (86-XX)

Citations by Year